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Simplifying 7(x + -4) + -3x = 2(x + -14) Reorder the terms: 7(-4 + x) + -3x = 2(x + -14) (-4 * 7 + x * 7) + -3x = 2(x + -14) (-28 + 7x) + -3x = 2(x + -14) Combine like terms: 7x + -3x = 4x -28 + 4x = 2(x + -14) Reorder the terms: -28 + 4x = 2(-14 + x) -28 + 4x = (-14 * 2 + x * 2) -28 + 4x = (-28 + 2x) Add '28' to each side of the equation. -28 + 28 + 4x = -28 + 28 + 2x Combine like terms: -28 + 28 = 0 0 + 4x = -28 + 28 + 2x 4x = -28 + 28 + 2x Combine like terms: -28 + 28 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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